Question: Goal: Solve the following system of linear equations by using Cramer's Rule (the Method of Determinants). x + y = - 10 x +

Goal: Solve the following system of linear equations by using Cramer's Rule (the Method of Determinants). x + y = - 10 x + z = 20 y+z= -8 Begin by calculating the following four determinants: (i) det 1 (ii) det 1 0 -10 1 0 20 01 = -18 8 1 1 (iii) det 1 0 20 01 -8 x = -10 0 20 1 = 38 -8 1 1 1 0 (iv) det 1 0 1 = -2 0 1 1 y = [1 1 -107 Z= Now divide these determinants appropriately to find x, y, and z, rounding to one decimal place where necessary. -22

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